3. With the transformation matrix (A) given by (4.20), explicitly verify that 3 Σaijaik = δjk, i=1 for (a) j = 1, k = 1, (b) j = 1, k = 2, (c) j = 1, k = 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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cos y cos asin y cos 3 sin a
- sin y cos a
cos y cos sin a
sin 3 sin a
sin y sin 3
cos y sin a + sin y cos 3 cos a
- siny sin a + cos y cos cos a
- sin 3 cos a
cos y sin 3
cos 3
3. With the transformation matrix (A) given by (4.20), explicitly verify that
3
Σaijaik = δjk,
i=1
for (a) j = 1, k = 1, (b) j = 1, k = 2, (c) j = 1, k = 3.
(A) =
Transcribed Image Text:cos y cos asin y cos 3 sin a - sin y cos a cos y cos sin a sin 3 sin a sin y sin 3 cos y sin a + sin y cos 3 cos a - siny sin a + cos y cos cos a - sin 3 cos a cos y sin 3 cos 3 3. With the transformation matrix (A) given by (4.20), explicitly verify that 3 Σaijaik = δjk, i=1 for (a) j = 1, k = 1, (b) j = 1, k = 2, (c) j = 1, k = 3. (A) =
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